Answers
Given:
The figure of an equilateral triangle with side length 14 in.
To find:
The height x of the equilateral triangle.
Solution:
We know that the height of an equilateral triangle is:
[tex]h=\dfrac{\sqrt{3}}{2}a[/tex]
Where, a is the length of side of the equilateral triangle.
It is given that the height of the triangle is [tex]x[/tex].
Putting [tex]a=14,h=x[/tex] in the above formula, we get
[tex]x=\dfrac{\sqrt{3}}{2}(14)[/tex]
[tex]x=\sqrt{3}(7)[/tex]
[tex]x=7\sqrt{3}[/tex]
Therefore, the height of the triangle is [tex]x=7\sqrt{3}[/tex].
Related Questions
Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.
Answers
Answer:
[tex]Pr = \frac{1}{216}[/tex]
Step-by-step explanation:
The sample space of a single dice is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S) = 6[/tex]
Required:
The probability of rolling 3 sixes
In a sample space of a roll of die, we have:
[tex]n(6) = 1[/tex]
In a roll of dice, the probability of rolling a 6 is:
[tex]P(6) = \frac{n(6)}{n(S)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
In 3 rolls, the probability is:
[tex]Pr = P(6)^3[/tex]
[tex]Pr = [\frac{1}{6}]^3[/tex]
[tex]Pr = \frac{1}{216}[/tex]
Which has a greater slope, a horizontal line or a vertical line?
A. A vertical line has no defined slope, so the comparison cannot be made.
B. Horizontal line
C. Vertical line
D. A horizontal line has no defined slope, so the comparison cannot be made.
Answers
Answer:
A
Step-by-step explanation:
The slope of a vertical line is undefined
The slope of a horizontal line is 0
Which of the following sets of side lengths could produce a triangle? SELECT ALL THAT APPLY. (7TH GRADE MATH)
A) 3,6,9
B) 13, 5, 6
C) 5, 5, 10
D) 5, 7, 11
E) 4, 4, 4
Answers
Answer: C)5,5,10
Step-by-step explanation:
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A frog is jumping onto a lily pad. Its height, h (in feet), is recorded at various seconds, t, in the
table below. Write an equation for the curve of best fit, then estimate the height of the frog after 6
seconds.
1
0
2
1
4.5
6
2
3
6.5
4
6
Answers
The curve of best fit is an illustration of a quadratic regression
The equation of the curve of best fit is [tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex], and the height of the frog after 6 seconds is 2 feet
How to determine the equation of the curve of best fit?To determine the equation of the curve of best fit, we make use of a graphing calculator
Using the graphing calculator, we have the following calculation summary
a = -17/18b = 17/3c = 2The equation of the curve of best fit is represented as:
[tex]y = ax^2 + bx + c[/tex]
Substitute the values for a, b and c.
So, we have:
[tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex]
After 6 seconds, the value of x is 6.
So, we have:
[tex]y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2[/tex]
Evaluate
[tex]y = 2[/tex]
Hence, the height of the frog after 6 seconds is 2 feet
Read more about curve of best fit at:
https://brainly.com/question/25226042
x+2y=3;3x+5y=7 solve by elimination method
Answers
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 3 → (1)
3x + 5y = 7 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 3x - 6y = - 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - y = - 2
- y = - 2 ( multiply both sides by - 1 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for y
Substituting into (1)
x + 2(2) = 3
x + 4 = 3 ( subtract 4 from both sides )
x = - 1
solution is (- 1, 2 )
Answer:
(2,1)
Step-by-step explanation:
A P E X
Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?
Answers
‼️ PLEASE HELPPPPP ‼️
Answers
100 POINTS AND BRAINLIEST
What is the common difference of the arithmetic sequence? −17, −13, −9, −5, −1
A) -17
B) -13
C) 4
D) -4
Answers
Answer:
The common difference is 4 or C on your test
Step-by-step explanation:
-17+4= -13
-13+4= -9
And so on...
A rectangle has the dimensions shown. The area of the rectangle would be represented by which type of expression? linear expression quadratic expression exponential expression rational expression
Answers
Answer:
rational expression
Step-by-step explanation:
Answer:
it's quadratic
Step-by-step explanation:
I NEED HELP ASAP!!!
**Ignore the theorem portion above. Answer the angle measure questions, rounding all answers to the nearest tenth***
Answers
Answer:
SVU = 90
TUV = 65
Step-by-step explanation:
Answer:
sorry if it's messy, I tried my best even though I'm not sure for ST.
9 4/5 divided by 3 2/11
Answers
During his past seven basketball games, Manuel scored 35, 37, 43, 47, 52, 29, and 31 points respectively. Therefore, his mean number of points per game was 39.14.
What did calculating that number tell him about his game?
A.
Manuel would know that he will make at least 39 points per game in the future.
B.
Even though Manuel does not score exactly 39 points in every game, he tends to score on average 39 points per game.
C.
Manuel would know that he will make at most 39 points per game in the future.
D.
Manuel would know that both he and his teammates will contribute an average of 39 points each per game.
Answers
SOMEONE PLEASEEEE HELPPPP!?!!?!?!!?!?!
Answers
Answer:
3/35, 12/35, 16/35, 4/35
Step-by-step explanation:
The box has a total of 35 squares.
The pink fills 3 squares so the pink section is: 3/35
The dark blue section covers 12 squares
So 12/35 is another fraction.
The light blue area covers 16 squares so another fraction is 16/35
The white covers 4 squares
So the last possible fraction is 4/35.
Exponential decay, please help
Answers
Answer:
6.25
Step-by-step explanation:
50(1 - .5)^3
6.25
can some give me the anwsers
Answers
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong
SOMEONE HELP ME PLEASE PAST DUE!! No websites allowed!
Give me the answer for the blanks
Airplane
Boat
Bike
The clues are at true bottom
Answers
Answer:
Airplane goes 550 mph
Bike goes 9 mph
Ship goes 27 mph
Step-by-step explanation:
The airplane goes 1,925 every 3.5 hours
Divide 1925 by 3.5
1925/3.5 = 550mph
Do the same thing with the bike’s numbers:
45/5 = 9
So 9mph
And again with the ship:
432/16 = 27
It also says its three times as fast as the bike so:
9 x 3 = 27
So the ship goes 27 mph
Jackie deposits $2,050 into an account that pays 6.8% interest compounded annually. How much will be in the account (to the nearest dollar) after 6 years?
Answers
Answer:
$2091 (exact answer is $2090.80)
Step-by-step explanation:
2050 × 6.8% = 6.8
So, interest will add an extra $6.80 to his account
6.8 × 6 = 40.8
So, after 6 years, interest will make him an additional $40.80.
Add 40.80 to his original amount of money.
2050 + 40.8 = 2090.80
Round it up to the nearest dollar.
$2091
What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.
A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6
Answers
Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
the product of 5 and a number X is 22
i dont need what it equals
Answers
Inverse operations to the rescue!
So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4
Please help asap!
The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey?
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Answers
Answer:all students in the social studies club
Answer:
I dont know the answer to this but I was putting this here to tell you how much of a good person you are. I was taking the ming china cause and effect chart and I didnt know the answer and your answer on that helped me alot and thank you very much you helped my grade to go from a b to an a thank you you are one of the kindest people I know. Thank you :)
Step-by-step explanation:
34, 57, 58, 56, 21. Which measure of center best represents the data? Explain why you chose that measure of center.
Answers
Answer:
Median
Step-by-step explanation:
The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.
The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.
Answers
Answer:
240/(v+40) + 1 > 240/v
Step-by-step explanation:
Both parties traveled a distance of 240 km.
Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1
Jacksons took off at average speed of v km/h: 240/v
An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v
How to write an inequality?We are told that distance travelled by both Jackson and Simpson is 240 km each.
Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v
The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;
Time taken = [240/(v + 40)] + 1
Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v
Read more about Inequality at; https://brainly.com/question/25275758
#SPJ6
Help me please and thank you x
Answers
hope this helps:
x is 10 degrees...
**EASY**
Determine the intercepts of the line -
2x + 5y = -6
Y-intercept: (_ , _)
X-intercept: (_ , _)
Answers
X intercept : -3,0
Y intercept: 0, -6/5
A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.
Answers
Answer:
Step-by-step explanation:
p and s was are the speeds of the plane and wind, respectively.
Traveling with the wind, the plane moves p+w miles per hour.
p+w = (1092 miles)/(6 hours) = (182 miles)/hour
Traveling against the wind, the plane moves p-w miles per hour.
p-w = (1092 miles)/(7 hours) = (156 miles)/hour
Add the equations together
p+w = 182
p-w = 156
—————-
2p = 338
p = 169 miles per hour
w = p-156 = 13 miles per hour
find the product (x+3y^2) (3x-3y^2)
Answers
Answer:
3x^2 - 12x·y^2 - 9y^2·y^4
Step-by-step explanation:
Apply the distributive property of multiplication here.
x times (3x - 3y^2) is 3x^2 - 3x·y^2.
3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.
Thus, the desired product of the given binomials is the sum of the above results:
3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4
which shortens to 3x^2 - 12x·y^2 - 9y^2·y^4
simplify (2x^2+3)(x+4
Answers
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
what is the measure of each exterior angle of a regular 67-gon?
Answers
The measure of each exterior angle of a regular 67-gon is 5.73
Given that,
There is the regular 67-gon.And, the sum of exterior angle is 360.
Based on the above information, the calculation is as follows:
[tex]= 360\div 67[/tex]
= 5.73
Learn more: brainly.com/question/17429689
Calculate the surface area of the square pyramid below.
yd2
Answers
Answer:
155
Step-by-step explanation:
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answers
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75